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Answers for February "Fun with Math"

Twelve kids get all answers correct

There were 12 kids who got all the "Fun with Math" questions correct in the February competition.

So far, the "Fun for Math" creator George Yu hasn't been fooling too many contestants.

Because of the number of winners, Young Saint Louis.com is going to up the number of winners who get the $10 Borders gift certificate. The four were picked randomly from among the 12 winners.

Tori Harbison, Glen Carbon, IL; Danielle Kirsch, Edwardsville, IL; Henry Lu, Edwardsville, IL, and Ryan Wahiki, Creve Coeur, MO.

The other eight who got all answers correct were:

John Bentley, Edwardsville, IL; Monica Chavan, Edwardsville, IL; Kim Johnson, Edwardsville, IL; Mickaela Kulasekara, Edwardsville, IL; Durga Kullakanda, Maryland Heights, MO; Wes Schoenthal, Edwardsville, IL; Chad Turner, Edwardsville, IL, and Jacob Vieth, Edwardsville, IL.

(If you'd like to enter the March, 2010, "Fun with Math" contest, click here.)

Solution for the February, 2010, "Fun with Math" questions

  1. 1. 12x12=144, 13x13=169, 14x14=196, and 15x15=225. The answers are 169 and 196.

  2. The square numbers less than 18 are 1, 4, 9, and 16. We have to choose two of these numbers so that their sum is a perfect number. We find 9+16=25 by trial and error. Bob is older than Carl, so Bob is 16 and Carl is 9.

  3. The square numbers less than 100 are 1, 4, 9, 16, 25, 36, 49, 64, and 81. We have to choose two of these numbers so that their difference is 32. We can use trial and error, or test each number by addition. 1+32=33, but 33 is not an option. 4+32=36. If we look back at the list, we find that 36 is an option.

    Diana ended up with 4 pages, a perfect square. Adding the 32 pages she tore out the second time, we have 36 pages, another perfect square. Adding the 32 pages she tore out the first time, we have 68 pages. 68 pages were originally in the notebook.
 

 


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